Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Fri, 1 Nov 2024 11:45:10 +0100 Organization: A noiseless patient Spider Lines: 17 Message-ID: References: <276fc9df-619b-4a10-b414-a04a74aa7378@att.net> <88e6a631-417a-4dd0-9443-a57116dcbd28@att.net> <7a1e34df-ffee-4d30-ae8c-2af5bcb1d932@att.net> <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> <30dffbdf129483f7b61e3284d1e7bf2ad2e5ea16@i2pn2.org> <9ca97f4a24ae1e3041583265125cf860d2fada11@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 01 Nov 2024 11:45:09 +0100 (CET) Injection-Info: dont-email.me; posting-host="295e755bf90583dca21b4a95e4b6bfe4"; logging-data="3381031"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+uVEn8plcSLhXIYX2QIpNfkeK2/uHLT4U=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:wnHY5h3SyZcInCj8eXqiBkqOeAA= In-Reply-To: <9ca97f4a24ae1e3041583265125cf860d2fada11@i2pn2.org> Content-Language: en-US Bytes: 2491 On 01.11.2024 00:43, Richard Damon wrote: > On 10/31/24 1:35 PM, WM wrote: >> On 31.10.2024 12:36, Richard Damon wrote: >>> On 10/30/24 11:38 AM, WM wrote: >> >>>>> NUF(x) MUST jump from 0 to Aleph_0 at all real values x, as below >>>>> ANY real number x, there are Aleph_0 unit fractions. >> >> You cannot distinguish them by any real number? That proves that they >> are dark. > They are not finite values. All unit fractions are finite values. Regards, WM